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Without solving, find the sum and product of the roots of the equation 2x2−3x−2=0.​

Sagot :

This is example only

Roots of a quadratic equation:

● If α and β are the roots of the given quadratic equation

ax2+bx+c=0

The sum of the roots is, α+β=−b/a

Multiplication of the roots is, αβ=c/a

● If two roots of a quadratic equation are α and β, then The equation can be written as

x2−(α+β)x+αβ

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Answer:

Sum: [tex] - \frac{3}{2} [/tex]

Product: -1

Roots: [tex] \frac{1}{2} [/tex], -2